What to do now - car accident/insurance follow up

Post accident car insurance question

Good evening forum

TLDR: Should we tell the other party in an accident that they should deal with our insurance company, or get our insurance company to tell them the same thing?

My child was involved in a car accident earlier this year. We hold and held comprehensive insurance. They were assessed as being at fault. Their vehicle was repaired (after payment of excesses).

The other party has lodged NSW local court proceedings. We have forwarded these documents to our insurance company. Today they (my child) received further documents noting an increase in the amount being claimed. The additional documents will be sent to our insurance company for them to continue to manage the (other party's) claim.

My question is should we:

1. ask our insurance company to insist the other party's lawyers deal directly through them (rather than through us)? or

2. reply to the other party's lawyer to deal directly with our insurance company (including appropriate claim number details) and cc our insurance company.

kind regards

Ant